3137125257 has 48 divisors (see below), whose sum is σ = 5379454080. Its totient is φ = 1723680000.

The previous prime is 3137125237. The next prime is 3137125261. The reversal of 3137125257 is 7525217313.

It is a happy number.

3137125257 is a `hidden beast` number, since 31 + 371 + 2 + 5 + 257 = 666.

It is not a de Polignac number, because 3137125257 - 2⁷ = 3137125129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3137125217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 455157 + ... + 461997.

It is an arithmetic number, because the mean of its divisors is an integer number (112071960).

Almost surely, 2^3137125257 is an apocalyptic number.

It is an amenable number.

3137125257 is a deficient number, since it is larger than the sum of its proper divisors (2242328823).

3137125257 is a wasteful number, since it uses less digits than its factorization.

3137125257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7134 (or 7131 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 3137125257 is about 56010.0460364031. The cubic root of 3137125257 is about 1463.8973336251.

The spelling of 3137125257 in words is "three billion, one hundred thirty-seven million, one hundred twenty-five thousand, two hundred fifty-seven".